Question

Which equation is graphed here

A. y= -3x +3
B. y= -3x -3
C. y= -1/3x +3
D. y= -1/3x -3

12 points
Please hellllp!!!!!

Answer 1

The equation graphed is A

Answer 2

Option A.

`y= -3x +3`

Explanation:

The equation of a line in the slope-intersection form is:

`y = mx + b`

Where m is the slope and b is the intersection with the y axis.

Notice in the graph that the given line cuts to the y-axis at
`y = 3`.

This means that the value of b must be positive and equal to 3.

Therefore we can discard options B and D.

The equation will be:

`y = mx +3`

Now we need to find the slope m of the line.

Notice that the graph cuts to the x-axis at point (1.0)

Substitute this point in the equation and clear m.

`0 = m (1) +3`

`m = -3`

Therefore the slope of the line is
`m = -3`

and the equation is:

`y = -3x +3`